stefan leitner ece 422 - hw5april 1, 2015web.eecs.utk.edu/~kaisun/ece422/solution_hw5.pdf ·...
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![Page 1: Stefan Leitner ECE 422 - HW5April 1, 2015web.eecs.utk.edu/~kaisun/ECE422/Solution_HW5.pdf · Stefan'Leitner' ECE'422'/'HW5' April'1,'2015' ' ' 1' Problem'12.9b,c,d)'' ' Matlab&Code:&](https://reader031.vdocuments.us/reader031/viewer/2022022009/5af327a07f8b9aa916914b92/html5/thumbnails/1.jpg)
![Page 2: Stefan Leitner ECE 422 - HW5April 1, 2015web.eecs.utk.edu/~kaisun/ECE422/Solution_HW5.pdf · Stefan'Leitner' ECE'422'/'HW5' April'1,'2015' ' ' 1' Problem'12.9b,c,d)'' ' Matlab&Code:&](https://reader031.vdocuments.us/reader031/viewer/2022022009/5af327a07f8b9aa916914b92/html5/thumbnails/2.jpg)
Stefan'Leitner' ECE'422'/'HW5' April'1,'2015'
'
' 1'
Problem'12.9b,c,d)''
'Matlab&Code:&'
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
%'
%'''ECE'422'/'HW4'%'''Stefan'Leitner'
%'''000413506'%'''12.9b,c'
%'
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
'clear'all;'
close'all;'
'num=0.8;'
den=[0.025'0.575'1.55'1];'
figure(1),'rlocus(num,'den)''
%'Step'Response'numc='32;'
denc=[0.025'0.575'1.55'33];'
figure(2),'step(numc,'denc)''
'
'
![Page 3: Stefan Leitner ECE 422 - HW5April 1, 2015web.eecs.utk.edu/~kaisun/ECE422/Solution_HW5.pdf · Stefan'Leitner' ECE'422'/'HW5' April'1,'2015' ' ' 1' Problem'12.9b,c,d)'' ' Matlab&Code:&](https://reader031.vdocuments.us/reader031/viewer/2022022009/5af327a07f8b9aa916914b92/html5/thumbnails/3.jpg)
Stefan'Leitner' ECE'422'/'HW5' April'1,'2015'
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' 2'
''
''
−70 −60 −50 −40 −30 −20 −10 0 10 20 30−60
−40
−20
0
20
40
60
Root Locus
Real Axis (seconds−1)
Imag
inar
y Ax
is (s
econ
ds−1
)
0 10 20 30 40 50 600
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
Step Response
Time (seconds)
Ampl
itude
![Page 4: Stefan Leitner ECE 422 - HW5April 1, 2015web.eecs.utk.edu/~kaisun/ECE422/Solution_HW5.pdf · Stefan'Leitner' ECE'422'/'HW5' April'1,'2015' ' ' 1' Problem'12.9b,c,d)'' ' Matlab&Code:&](https://reader031.vdocuments.us/reader031/viewer/2022022009/5af327a07f8b9aa916914b92/html5/thumbnails/4.jpg)
Stefan'Leitner' ECE'422'/'HW5' April'1,'2015'
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' 3'
Simulink&Block&Diagram:&'
''
Step&Response:&''
'''
''
'
''
'
''
''
'
''
'
![Page 5: Stefan Leitner ECE 422 - HW5April 1, 2015web.eecs.utk.edu/~kaisun/ECE422/Solution_HW5.pdf · Stefan'Leitner' ECE'422'/'HW5' April'1,'2015' ' ' 1' Problem'12.9b,c,d)'' ' Matlab&Code:&](https://reader031.vdocuments.us/reader031/viewer/2022022009/5af327a07f8b9aa916914b92/html5/thumbnails/5.jpg)
![Page 6: Stefan Leitner ECE 422 - HW5April 1, 2015web.eecs.utk.edu/~kaisun/ECE422/Solution_HW5.pdf · Stefan'Leitner' ECE'422'/'HW5' April'1,'2015' ' ' 1' Problem'12.9b,c,d)'' ' Matlab&Code:&](https://reader031.vdocuments.us/reader031/viewer/2022022009/5af327a07f8b9aa916914b92/html5/thumbnails/6.jpg)
Stefan'Leitner' ECE'422'/'HW5' April'1,'2015'
'
' 4'
Problem'12.10a,b)''
'Matlab&Code:&'
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
%'
%'''ECE'422'/'HW4'%'''Stefan'Leitner'
%'''000413506'%'''12.10a'
%'
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
's'='tf('s');'
H'='32/(32'+'4*(1+s)/(1+0.04*s)'+'(1+0.05*s)*(1+0.5*s)*(1+s))'%'to'determine'the'
coefficients'of'the'new'TF''
''
numc='[1.28'32];'denc=[0.001'0.048'0.637'6.87'37];'
figure(2),'step(numc,'denc)''
''''''''''''''' ''
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 20
0.2
0.4
0.6
0.8
1
1.2
1.4
Step Response
Time (seconds)
Ampl
itude
![Page 7: Stefan Leitner ECE 422 - HW5April 1, 2015web.eecs.utk.edu/~kaisun/ECE422/Solution_HW5.pdf · Stefan'Leitner' ECE'422'/'HW5' April'1,'2015' ' ' 1' Problem'12.9b,c,d)'' ' Matlab&Code:&](https://reader031.vdocuments.us/reader031/viewer/2022022009/5af327a07f8b9aa916914b92/html5/thumbnails/7.jpg)
Stefan'Leitner' ECE'422'/'HW5' April'1,'2015'
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' 5'
Simulink&Block&Diagram:&
'&&&&&Step&Response:&'
'''
'
''
'
''
![Page 8: Stefan Leitner ECE 422 - HW5April 1, 2015web.eecs.utk.edu/~kaisun/ECE422/Solution_HW5.pdf · Stefan'Leitner' ECE'422'/'HW5' April'1,'2015' ' ' 1' Problem'12.9b,c,d)'' ' Matlab&Code:&](https://reader031.vdocuments.us/reader031/viewer/2022022009/5af327a07f8b9aa916914b92/html5/thumbnails/8.jpg)
Stefan'Leitner' ECE'422'/'HW5' April'1,'2015'
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' 6'
Problem'12.11)''
'Simulink&Block&Diagram:&'
''Step&Response:&'
''
'
''
As'required,'the'proportional'part'was'set'to'2'and'varied'were'the'integral/'and'the'derivative/part'in'order'to'achieve'a'minimum'overshoot'and'a'very'small'settling'time.'